THE ELECTROMAGNETIC INVERSE PROBLEM IN THE TIME DOMAIN FOR A DISSIPATIVE SLAB AND A POINT-SOURCE USING INVARIANT IMBEDDING - RECONSTRUCTION OF THE PERMITTIVITY AND CONDUCTIVITY

被引：8

作者：

HE, SL ^{[1
]}

STROM, S ^{[1
]}

机构：

[1] ROYAL INST TECHNOL,DIV ELECTROMAGNET THEORY,S-10044 STOCKHOLM 70,SWEDEN

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 42卷 / 01期

关键词：

WAVE SPLITTING; INVARIANT IMBEDDING; INVERSE SCATTERING; DISSIPATIVE STRATIFIED MEDIA; RECONSTRUCTION OF PERMITTIVITY AND CONDUCTIVITY;

D O I：

10.1016/0377-0427(92)90168-W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the electromagnetic inverse problem for a point source above an inhomogeneous dissipative slab of permittivity-epsilon(z) and conductivity-sigma(z), where z is the depth. Two inversion algorithms based on the invariant imbedding equations derived in previous work are used to reconstruct both the permittivity and the conductivity. Both algorithms use two-sided reflection data and one of them also uses transmission data. Results are presented for clean and noisy data.

引用

页码：137 / 155

页数：19

共 17 条

[1]

BEEZLEY RS, 1985, THESIS U NEBRASKA

[2] SPECTRAL AND TIME DOMAIN APPROACHES TO SOME INVERSE SCATTERING PROBLEMS [J].

BOLOMEY, JC ;

LESSELIER, D ;

PICHOT, C ;

TABBARA, W .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1981, 29 (02) :206-212

[3] OBTAINING SCATTERING KERNELS USING INVARIANT IMBEDDING [J].

CORONES, J ;

KRUEGER, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 95 (02) :393-415

[4]

CORONES JP, 1983, P SOC PHOTO-OPT INST, V413, P102

[5]

CORONES JP, 1983, P SOC PHOTO-OPT INST, V413, P107

[6]

HE S, 1991, TRITATET911 ROY I TE

[7] THE ELECTROMAGNETIC SCATTERING PROBLEM IN THE TIME DOMAIN FOR A DISSIPATIVE SLAB AND A POINT-SOURCE USING INVARIANT IMBEDDING [J].

HE, SL ;

STROM, S .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (12) :3529-3539

[8] FACTORIZATION OF A DISSIPATIVE WAVE-EQUATION AND THE GREEN-FUNCTIONS TECHNIQUE FOR AXIALLY SYMMETRICAL FIELDS IN A STRATIFIED SLAB [J].

HE, SL .

JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (03) :953-966

[9] DIRECT AND INVERSE SCATTERING IN THE TIME DOMAIN FOR A DISSIPATIVE WAVE-EQUATION .4. USE OF PHASE-VELOCITY MISMATCHES TO SIMPLIFY INVERSIONS [J].

KRISTENSSON, G ;

KRUEGER, RJ .

INVERSE PROBLEMS, 1989, 5 (03) :375-388

[10] DIRECT AND INVERSE SCATTERING IN THE TIME DOMAIN FOR A DISSIPATIVE WAVE-EQUATION .2. SIMULTANEOUS RECONSTRUCTION OF DISSIPATION AND PHASE-VELOCITY PROFILES [J].

KRISTENSSON, G ;

KRUEGER, RJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (06) :1683-1693

← 1 2 →